2134925100 has 648 divisors, whose sum is σ = 8860557888. Its totient is φ = 440899200.

The previous prime is 2134925083. The next prime is 2134925129. The reversal of 2134925100 is 15294312.

It is a super-3 number, since 3×2134925100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13097619 + ... + 13097781.

Almost surely, 2^2134925100 is an apocalyptic number.

2134925100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134925100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430278944).

2134925100 is an abundant number, since it is smaller than the sum of its proper divisors (6725632788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2134925100 is a wasteful number, since it uses less digits than its factorization.

2134925100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2134925100 is about 46205.2497017384. The cubic root of 2134925100 is about 1287.6392735880.

The spelling of 2134925100 in words is "two billion, one hundred thirty-four million, nine hundred twenty-five thousand, one hundred".